Question: Write a computer program to compute af a2f a3f af , and at x = 1.5 and 2.5 for '2' 3' x4 f(x) =

Write a computer program to compute af a2f a3f af , and at x = 1.5 and 2.5 for '2' 3' x4 f(x) = sin ( x/2). Use central differencing of second order with the following step sixes: Ax = 0.001, 0.01, 0.1, 0.2, 0.3, and 0.4. Also determine the % of error for each computation by % Error 100 (Numerical value - Analytical value Analytical value value) Compare and discuss the results.

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